Finite irreducible modules of a class of \(\mathbb{Z}^+\)-graded Lie conformal algebras

DOI10.1016/J.JPAA.2023.107351OpenAlexW4321487041MaRDI QIDQ2699435

Maosen Xu, Yanyong Hong

Publication date: 26 April 2023

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.13657

zbMATH Keywords

finite irreducible modulemap Virasoro conformal algebra\(\mathbb{Z}^+\)-graded Lie conformal algebrablock type Lie conformal algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (2)

A class of graded conformal algebras which is induced by Heisenberg-Virasoro conformal algebra ⋮ On classification of irreducible conformal \(\mathfrak{B}(p)\)-modules of finite rank

Cites Work

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• Finite irreducible conformal modules of rank two Lie conformal algebras
• Extensions of modules over a class of Lie conformal algebras 𝒲(b)
• Extensions of Schrödinger–Virasoro conformal modules
• Theory of finite pseudoalgebras

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